Abstract f(T, B) teleparallel gravity is a recently proposed straightforward generalization of the popular f(T) teleparallel gravity by the incorporation of a boundary term B = 2 e ∂ i ( e T i ) = ▽ i T i where T denote the torsion scalar (Bahamonde et al., 2015). In this work, I investigate the viability of some well motivated f(T, B) teleparallel gravity models of the forms f = α B n + β T m , f = α B n T m and f = α log ( B ) + β T where α, β, n and m are free parameters from the inequalities imposed the weak energy condition. I use the recent estimates of Hubble, deceleration, jerk and snap parameters in finding corners in parameter spaces for the cosmological models for which the energy density remain positive and the weak energy condition (i.e, ρ + p ≥ 0 , where p and ρ represent respectively the cosmological pressure and energy density) attains a minute positive value, as this implies the EoS parameter ω = p / ρ ≃ − 1 and therefore consistent with an accelerating universe.

中文翻译：

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从能量条件约束 f(T, B) Teleparallel Gravity

摘要 f(T, B) 远平行引力是最近提出的流行 f(T) 远平行引力的直接概括，它通过引入边界项 B = 2 e ∂ i ( e T i ) = ▽ i T i 其中 T 表示扭转标量 (Bahamonde et al., 2015)。在这项工作中，我研究了一些动机良好的 f(T, B) 远平行引力模型的可行性，形式为 f = α B n + β T m ，f = α B n T m 和 f = α log ( B ) + β T 其中 α、β、n 和 m 是来自强加弱能量条件的不等式的自由参数。我使用最近对哈勃、减速、急动和捕捉参数的估计来寻找能量密度保持正值和弱能量条件（即 ρ + p ≥ 0 ，